空间相关的MIMO系统发射端最优设计

研究单用户多输入-多输出（MIMO）系统发射端的最优设计问题．假设系统的发射端和接收端的天线之间是相关的。接收端完全知道信道信忠而发射端只知道发射相关矩阵和接收相关矩阵，证明了在以误码率的上界作为性能准则的情况下，发射端最优的信号发射方向是一组正交方向并且与发射端相关矩阵的特征向量方向一致而与接收端的相关矩阵无关，但是最优的功率分配方案与发射端和接收端的相关矩阵都相关。

Optimal transmitter design in MIMO systems under correlated fading channels

We investigate the optimal transmitter design for the single-user multiple-input multiple-output(MIMO) communication system based on the knowledge of the correlation matrix of Rayleigh fading channels.The practical system with correlated receive and correlated transmit antennas is considered in this paper.Furthermore,we assume that the receiver has perfect channel state information,while the transmitter knows only the transmit correlation matrix and receive correlation matrix.The optimality pertains to minimizing an upper bound on the symbol error rate.The optimal transmit directions turn out to be the orthogonal directions along the eigenvectors of the transmit correlation matrix and independent of the receive correlation matrix.However the optimal power allocation scheme is related to both transmit and receive correlation matrix.